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25 April 2024
 
  » arxiv » 0806.4646

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An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere
Alexander I Nesterov ;
Date 28 Jun 2008
AbstractFor a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an optimum Hamiltonian that generates nonunitary transformations of a given initial state into a certain final state in the smallest time $ au$. The analysis is based on the relationship between the states of the two-dimensional subspace of the Hilbert space spanned by the initial and final states and the points of the two-dimensional complex Bloch sphere.
Source arXiv, 0806.4646
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